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weeeeeb [17]
3 years ago
10

What is the inverse function of f(x)=6x^3-3?

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
7 0
<span>f(x)=6x^3-3

1.  Replace f(x) with y:  y = 6x^3 - 3   
2.  Interchange x and y:  x = 6y^3 - 3       x+3                                      x+3
3.  Solve this result for y:    y^3 =           ---------   or y = cube root of  -------
                                 -1                                6                                          6
4.  Replace y with  f     (x)

</span>
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An image of two concentric circles is shown with r2 = 6 and r1 = 2:
AysviL [449]

The radius of the Outer circle (with r₂) is 6 and the radius of the inner circle (with r₁) is 2. When objects are similar, they have a proportional relationship. If we take the outer circle and squeeze by one third, we get a radius of 6 x 1/3 = 2. On the other hand, if we start with the inner circle and stretch it by 3, we get a radius of 2 x 3 = 6.


Thus, to make r₂ similar, we use a scale factor of 1/3. The third choice is best.

5 0
2 years ago
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katrin [286]

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4 0
2 years ago
Eighteen is 25% less than what number?
Elenna [48]

Answer:

72

Step-by-step explanation:

multiply 18 by 4,

since 100/4 is 25, and four quarters makes a dollar, multiply it by 4

18(4) = 72

8 0
2 years ago
Read 2 more answers
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose pe
soldier1979 [14.2K]

Using the normal distribution, it is found that:

a) 0.8599 = 85.99% probability that x is more than 60.

b) 0.1788 = 17.88% probability that x is less than 110.

c) 0.6811 = 68.11% probability that x is between 60 and 110.

d) 0.0643 = 6.43% probability that x is greater than 125.

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

  • The mean is of 87, thus \mu = 87.
  • The standard deviation is of 25, thus \sigma = 25.

Item a:

This probability is <u>1 subtracted by the p-value of Z when X = 60</u>, thus:

Z = \frac{X - \mu}{\sigma}

Z = \frac{60 - 87}{25}

Z = -1.08

Z = -1.08 has a p-value of 0.1401.

1 - 0.1401 = 0.8599

0.8599 = 85.99% probability that x is more than 60.

Item b:

This probability is the <u>p-value of Z when X = 110</u>, thus:

Z = \frac{X - \mu}{\sigma}

Z = \frac{110 - 87}{25}

Z = 0.92

Z = 0.92 has a p-value of 0.8212.

1 - 0.8212 = 0.1788.

0.1788 = 17.88% probability that x is less than 110.

Item c:

This probability is the <u>p-value of Z when X = 110 subtracted by the p-value of Z when X = 60</u>.

From the previous two items, 0.8212 - 0.1401 = 0.6811.

0.6811 = 68.11% probability that x is between 60 and 110.

Item d:

This probability is <u>1 subtracted by the p-value of Z when X = 125</u>, thus:

Z = \frac{X - \mu}{\sigma}

Z = \frac{125 - 87}{25}

Z = 1.52

Z = 1.52 has a p-value of 0.9357.

1 - 0.9357 = 0.0643.

0.0643 = 6.43% probability that x is greater than 125.

A similar problem is given at brainly.com/question/24863330

7 0
3 years ago
I need some help answering some fractions.
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3 years ago
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